Answer:
-4.5
Step-by-step explanation:
15(2-x)=13(3-x)
Expand parentheses:
30-15x=39-13x
Add 15x to both sides:
30=2x+39
Subtract 39 from both sides:
2x=-9
Divide both sides by 2:
x=-4.5
Hope this helps!
Answer:
Step-by-step explanation:
I assume we are finding the slope of the line. It is positive since it runs from the lower left to the upper right, so forget B and D. Since slope is defined as rise over run, in order to get from one point on the line that goes through right where the grids meet to another point that goes through right where the grids meet we count up 1 unit and then to the right 6 units. This is a slope of 1/6.
Answer:
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Step-by-step explanation:
In arithmetic sequence: a₂ - a₁ = a₃ - a₂ {common difference}
1% is the answer because you have to bump it up two place and it is always the first number.
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
